The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Results on the correlations of low-density classical and quantum Coulomb systems at
equilibrium in three dimensions are reviewed. The exponential decay of particle correlations …

The multivariate Tutte polynomial (known to physicists as the Potts-model partition function)
can be defined on an arbitrary finite graph G, or more generally on an arbitrary matroid M …

We give a self-contained derivation of the differential equations for Wilson's renormalization
group for the one-particle irreducible Green functions in fermionic systems. The application …

We elucidate the close connection between the repulsive lattice gas in equilibrium statistical
mechanics and the Lovász local lemma in probabilistic combinatorics. We show that the …

We introduce an explicit description of the Φ 3 4 measure on a bounded domain. Our
starting point is the interpretation of its Laplace transform as the value function of a …

We show that there exist universal constants C (r)<∞ such that, for all loopless graphs G of
maximum degree [les] r, the zeros (real or complex) of the chromatic polynomial PG (q) lie in …

This introduction surveys a renormalisation group perspective on log-Sobolev inequalities
and related properties of stochastic dynamics. We also explain the relationship of this …

We provide an informal up‐to‐date review of the tensor track approach to quantum gravity.
In a long introduction we describe in simple terms the motivations for this approach. Then …

We study quartic matrix models with partition function ZE, J= ∫ dM ZE, J=∫ d M exp (trace
(JM-EM^ 2-λ 4 M^ 4)(JM-EM 2-λ 4 M 4)). The integral is over the space of Hermitean N …